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104746813707060 = 22335727710797277
BaseRepresentation
bin10111110100010001000100…
…100111110101001100110100
3111201212200211112202100101000
4113310101010213311030310
5102212132433302111220
61010440004422203300
731030464456004020
oct2764210447651464
9451780745670330
10104746813707060
1130414968659438
12b8b8773b83530
13465a774c9b795
141bc1ab6929380
15c19a895d5390
hex5f44449f5334

104746813707060 has 96 divisors (see below), whose sum is σ = 372433115416320. Its totient is φ = 23942128846464.

The previous prime is 104746813707043. The next prime is 104746813707061. The reversal of 104746813707060 is 60707318647401.

It is a happy number.

104746813707060 is a `hidden beast` number, since 1 + 0 + 4 + 74 + 6 + 81 + 370 + 70 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 104746813706988 and 104746813707006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104746813707061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13855394859 + ... + 13855402418.

It is an arithmetic number, because the mean of its divisors is an integer number (3879511618920).

Almost surely, 2104746813707060 is an apocalyptic number.

104746813707060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104746813707060 is an abundant number, since it is smaller than the sum of its proper divisors (267686301709260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104746813707060 is a wasteful number, since it uses less digits than its factorization.

104746813707060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27710797302 (or 27710797294 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 104746813707060 in words is "one hundred four trillion, seven hundred forty-six billion, eight hundred thirteen million, seven hundred seven thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 27710797277 55421594554 83132391831 110843189108 138553986385 166264783662 193975580939 249397175493 277107972770 332529567324 387951161878 415661959155 498794350986 554215945540 581926742817 748191526479 775902323756 831323918310 969877904695 997588701972 1163853485634 1246985877465 1496383052958 1662647836620 1745780228451 1939755809390 2327706971268 2493971754930 2909633714085 2992766105916 3491560456902 3740957632395 3879511618780 4987943509860 5237340685353 5819267428170 6983120913804 7481915264790 8728901142255 10474681370706 11638534856340 14963830529580 17457802284510 20949362741412 26186703426765 34915604569020 52373406853530 104746813707060